Solved Questions of Volume of Cuboid
1. Find the volume of cuboid, if it has a length of 20 cm, a breadth of 15 cm, and a height of 10 cm.
a) 6000 cm3
b) 3000 cm3
c) 2000 cm3
d) 5000 cm3
Answer: 3000 cm3
Explanation: Volume of cuboid = l x b x h
= 20 x 15 x 10
= 3000 cm3
2. The length, breadth, and height of a cuboid are 4 cm, 3 cm, and 5 cm respectively. What is the volume of the cuboid?
a) 60 cm3
b) 40 cm3
c) 55 cm3
d) 62 cm3
Answer: a) 60 cm3
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth and height together.
In this case, 4 x 3 x 5 = 60 cm3.
3. A box has a volume of 48 cm3. If the breadth and height of the box are 4 cm each, what is the length of the box?
a) 4 cm
b) 6 cm
c) 3 cm
d) 12 cm
Answer: c) 3 cm
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth, and height together.
In this case, l x b x h = 48 cm3. So, l = 48 cm3 / (4 cm x 4 cm) = 3 cm.
4. A cuboid has a volume of 300 cm3 and a breadth of 6 cm. If the height of the cuboid is 5 cm, what is the length of the cuboid?
a) 15 cm
b) 20 cm
c) 15 cm
d) 10 cm
Answer: d) 10 cm
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth, and height together.
In this case, l x b x h = 300 cm3. So, l = 300 cm3 / (6 cm x 5 cm) = 10 cm.
5. A cuboid has a volume of 1000 cm3 and a height of 10 cm. If the length of the cuboid is 8 cm, what is the breadth of the cuboid?
a) 5 cm
b) 8 cm
c) 10 cm
d) 12.5 cm
Answer: d) 12.5 cm
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth and height together.
In this case, l x b x h = 1000 cm3. So, V = 1000 cm3 / (8 cm x 10 cm) = 12.5 cm.
6. A cuboid has a volume of 500 cm3 and a breadth of 8 cm. What is the height of the cuboid if the length is 20 cm?
a) 3.125 cm
b) 6.25 cm
c) 12.5 cm
d) 25 cm
Answer: a) 3.125 cm
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth, and height together.
In this case, l x b x h = 500 cm3. So, h = 500 cm3 / (20 cm x 8 cm) = 3.125 cm.
7. A cuboid has a length of 12 cm, a breadth of 8 cm, and a height of 5 cm. What is the volume of the cuboid?
a) 480 cm3
b) 481 cm3
c) 482 cm3
d) 488 cm3
Answer: a) 480 cm3
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth, and height together.
In this case, l x b x h = 12 cm x 8 cm x 5 cm = 480 cm3.
8. A cuboid has a volume of 1000 cm3 and a height of 6 cm. What is the length and breadth of the cuboid if they are equal?
a) 209.23 cm
b) 173.54 cm
c) 166.67 cm
d) 120 cm
Answer: c) 166.67 cm
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth, and height together. In this case, l x b x h = 1000 cm3.
If l and b are equal, we can find the value of l or b by dividing the height by volume, i.e., 1000/ 6 = 166.67 cm.
9. A cuboid has a length of 15 cm, a breadth of 10 cm and a height of 8 cm. What is the volume of the cuboid if the units are in meters?
a) 0.0012 m3
b) 0.12 m3
c) 12 m3
d) 120 m3
Answer: a) 0.0012 m3
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth and height together.
In this case, l x b x h= 15 cm x 10 cm x 8 cm = 1200 cm3. To convert it to meters we divide by 1000000 = 0.0012 m3.
10. A cuboid has a length of 12 cm, a breadth of 8 cm and a height of 4 cm. What is the volume of the cuboid?
a) 320 cm3
b) 384 cm3
c) 482 cm3
d) 512 cm3
Answer: b) 384 cm3
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth and height together.
In this case, the volume of the cuboid is:
Volume = 12 cm x 8 cm x 4 cm = 384 cm3.
11. A box has a volume of 96 cm3. If the breadth of the box is 4 cm, and the height of the box is 6 cm, what is the length of the box?
a) 18 cm
b) 14 cm
c) 8 cm
d) 4 cm
Answer: d) 4 cm
Explanation: The volume of a cuboid is calculated by multiplying the length, breadth, and height together. In this case, l x b x h= 96 cm3.
So, we can find the length by dividing the volume by the product of the breadth and height.
l = 96 cm3 / (6 cm x 4 cm) = 4 cm.
Practice Questions of Volume of Cuboid
1. A cuboid has a volume of 720 cm3 and a length of 12 cm. If the breadth of the cuboid is 8 cm, what is the height of the cuboid?
a) 4.3 cm
b) 6.2 cm
c) 7.5 cm
d) 2.3 cm
Answer: c) 7.5 cm
2. The volume of a cuboid is 900 cm3 and the breadth and height are both 9 cm. What is the length of the cuboid?
a) 11.11 cm
b) 11.12 cm
c) 11.13 cm
d) 11.10 cm
Answer: a) 11.11 cm
3. A cuboid has a volume of 400 cm3 and a length of 10 cm. If the height of the cuboid is 8 cm, what is the breadth of the cuboid?
a) 2 cm
b) 6 cm
c) 4 cm
d) 5 cm
Answer: d) 5 cm
4. The volume of a cuboid is 2500 cm3 and the length and height are both 10 cm. What is the breadth of the cuboid?
a) 12 cm
b) 21 cm
c) 20 cm
d) 25 cm
Answer: d) 25 cm
5. A cuboid has a volume of 600 cm3 and a breadth of 6 cm. If the length of the cuboid is 8 cm, what is the height of the cuboid?
a) 12.6 cm
b) 12.5 cm
c) 14.8 cm
d) 17.5 cm
Answer: b) 12.5 cm
6. The volume of a cuboid is 1200 cm3 and the breadth and length are both 12 cm. What is the height of the cuboid?
a) 8.33 cm
b) 9.33 cm
c) 6.33 cm
d) 5.33 cm
Answer: a) 8.33 cm
7. A cuboid has a volume of 1200 cm3 and a breadth of 12 cm. If the height of the cuboid is 10 cm, what is the length of the cuboid?
a) 14 cm
b) 12 cm
c) 10 cm
d) 11 cm
Answer: c) 10 cm
8. The volume of a cuboid is 1800 cm3 and the length and height are both 9 cm. What is the breadth of the cuboid?
a) 23.22 cm
b) 24.22 cm
c) 24.23 cm
d) 22.22 cm
Answer: d) 22.22 cm
9. A cuboid has a volume of 2000 cm3 and a length of 15 cm. If the breadth of the cuboid is 8 cm, what is the height of the cuboid?
a) 14.67 cm
b) 18.67 cm
c) 16.67 cm
d) 17.67 cm
Answer: c) 16.67 cm
10. A box has a volume of 720 cm3. If the length and breadth of the box are both 12 cm, what is the height of the box?
a) 5 cm
b) 4 cm
c) 6 cm
d) 8 cm
Answers: a) 5 cm
